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On a theorem of Kazhdan

Decided to add a new answer instead of editing the old one (which answers a different question). Look at the proof in Bernstein-Zelevinsky. It generalizes to arbitrary split reductive groups. Here's a …
Dmitry Vaintrob's user avatar
4 votes

On a theorem of Kazhdan

Yes - this statement is true for any irreducible representation of a split reductive p-adic group $G$, where $U$ is the unipotent radical of the Borel (a Borel subgroup is a minimal algebraic subgroup …
Dmitry Vaintrob's user avatar